Solid geometry, stereometry - page 34 of 121
Number of problems found: 2409
- Aquarium 20
Martin wanted to help his father glue together an aquarium. He read in the manual that it should have a volume of 45 liters. But he didn't have much space on the table, the bottom of the aquarium could only be 25 cm and 40 cm. How high does the aquarium h - Calculate 26051
The base of the prism is a square with a side of 10 cm. Its height is 20 cm. Calculate the height of a pyramid with a square base of 10 cm, which has four times the prism's volume. - Cylinder twice
If the radius of the cylinder increases twice, and the height is reduced twice, then the volume of the cylinder increases (how many times?): - Original 18203
There is a cube with an edge. How long must the cube's edge be in which the volume should be twice the volume of the original cube? - Material 16923
The cube weighs 32 kg. How much kg does a cube made of the same material, which has an edge four times shorter, weigh? - Length = 3 width
The length of a cuboid is thrice its width. The height and volume of the cuboid measure 4cm and 300 cubic cm, respectively. What is the length of this cuboid? - Cylinder 11141
The area of the cylinder shell is 300 cm², the height of which is equal to the diameter of the base. Find the surface of the cylinder. - Centimeter 8324
Calculate the radius of a sphere with a volume of 6.2 dm3, round to the nearest centimeter. - Calculate 5624
The cube has a surface area of 110.6 cm². Calculate the length of its edge. - The surface
The surface of a truncated rotating cone with side s = 13 cm is S = 510π cm². Find the radii of the bases when their difference in lengths is 10cm. - Cube surface and volume
The surface of the cube is 500 cm². How much cm³ will its volume be? - Thousand balls
We must create a thousand balls from a sphere with a diameter of 1 m. What will be their radius? - Cube surfce2volume
Calculate the volume of the cube if its surface is 150 cm². - Diameter = height
The cylinder's surface, the height of which is equal to the diameter of the base, is 4239 cm square. Calculate the cylinder volume. - The volume 2
The volume of a cube is 27 cubic meters. Find the height of the cube. - Dimensions 70354
The cylinder's volume is 5l, and its height is equal to half the diameter of the base. Find the dimensions of the cylinder. - Calculate 45991
Calculate the radius of a sphere with the same volume as a cone with a radius of 5cm and a height of 7cm. - Diameter 21173
The water ball has a volume of 32,500 m³. How big is its diameter? - Find x 2
Find x, y, and z such that x³+y³+z³=k for each k from 1 to 100. Write down the number of solutions. - Spherical segment
Calculate the volume of a spherical segment 18 cm high. The diameter of the lower base is 80 cm, and the upper base is 60 cm.
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